Question

A 0.40-kg ball is thrown with a speed of 12 m/s at an upward angle of 28 ∘. Use conservation of energy. What is its speed at its highest point?

Answer 1

To find the speed of the ball at its highest point, we can use the principle of conservation of energy and the initial speed and angle of projection. By calculating the initial vertical and horizontal velocities, the time to reach the highest point, and then combining the horizontal and vertical velocities, we can determine the speed at the highest point.

Step-by-step explanation:

Using the principle of conservation of energy, we can determine the speed of the ball at its highest point. At the highest point, the ball will have reached its maximum height and therefore its potential energy will be at its maximum. This potential energy is equal to the kinetic energy at the point of release, which is determined by the initial speed of the ball.

First, we need to find the initial vertical velocity of the ball. This can be determined using the initial speed and the angle of projection. The vertical velocity can be calculated using the formula:

Vertical velocity = initial speed * sin(angle)

Answer 2

To find the speed of the ball at its highest point, we can use the principle of conservation of energy and the initial speed and angle of projection. By calculating the initial vertical and horizontal velocities, the time to reach the highest point, and then combining the horizontal and vertical velocities, we can determine the speed at the highest point.

Step-by-step explanation:

Using the principle of conservation of energy, we can determine the speed of the ball at its highest point. At the highest point, the ball will have reached its maximum height and therefore its potential energy will be at its maximum. This potential energy is equal to the kinetic energy at the point of release, which is determined by the initial speed of the ball.

First, we need to find the initial vertical velocity of the ball. This can be determined using the initial speed and the angle of projection. The vertical velocity can be calculated using the formula:

Vertical velocity = initial speed * sin(angle)